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Finding the Fourth Proportional to 316.24, 435.73 and 212.56

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Solution

The fourth proportional to 316.24, 435.73 and 212.56 is: 292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.24 : 435.73 = 212.56 : x
  2. Step 2: Convert to fraction form
    316.24/435.73 = 212.56/x
  3. Step 3: Cross multiply
    316.24x = 435.73 × 212.56
  4. Step 4: Simplify right side
    316.24x = 92,616.06
  5. Step 5: Solve for x
    x = 92,616.06/316.24
  6. Step 6: Final answer
    x = 292.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.